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    Radiation Reaction of Charged Particles Orbiting a Magnetized Schwarzschild Black Hole

    Zdeněk Stuchlík · Červenec 01, 2018 · Fyzika · 0 comments
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    Publication date: Jul 2018

    Abstract:
    In many astrophysically relevant situations, radiation-reaction forces
    acting upon a charge cannot be ignored, and the question of the location
    and stability of circular orbits in such a regime arises. The motion of
    a point charge with radiation reaction in flat spacetime is described by
    the Lorenz-Dirac (LD) equation, while in curved spacetime it is
    described by the DeWitt-Brehme (DWB) equation containing the Ricci term
    and a tail term. We show that for the motion of elementary particles in
    vacuum metrics, the DWB equation can be reduced to the covariant form of
    the LD equation, which we use here. Generically, the LD equation is
    plagued by runaway solutions, so we discuss computational ways of
    avoiding this problem when constructing numerical solutions. We also use
    the first iteration of the covariant LD equation, which is the covariant
    Landau-Lifshitz equation, comparing the results of these two approaches
    and showing the smallness of the third-order Schott term in the
    ultrarelativistic case. We calculate the corresponding energy and
    angular momentum loss of a particle and study the damping of charged
    particle oscillations around an equilibrium radius. We find that,
    depending on the orientation of the Lorentz force, the oscillating
    charged particle either spirals down to the black hole or stabilizes the
    circular orbit by decaying its oscillations. The latter case leads to
    the interesting new result of the particle orbit shifting outwards from
    the black hole. We also discuss the astrophysical relevance of the
    presented approach and provide estimates of the main parameters of the
    model.

    Authors:
    Tursunov, Arman; Kološ, Martin; Stuchlík, Zdeněk; Gal’tsov, Dmitri V.;

    https://ui.adsabs.harvard.edu/abs/2018ApJ…861….2T

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